CP Violation in a Model with Higgs Triplets

Ting-Kuo ChenCheng-Wei ChiangKei Yagyu

Mar 2023

摘要

We discuss CP-violation in a model with a real and a complex isospin tripletHiggs fields without introducing any symmetries except for the electroweakgauge symmetry. This corresponds to the minimal extension of the Higgs sectorwith the following properties: (i) providing new source of CP violation, (ii)absence of quark flavor changing neutral currents at tree level, and (iii)enabling the electroweak rho parameter to be unity at tree level in thescenario without imposing any new symmetries. Our model can be regarded as thegeneralized version of the Georgi-Machacek model, in which the global$SU(2)_L\times SU(2)_R$ symmetry is explicitly broken due to CP-violating termsin the potential. We present analytic formulas for theoretical constraints fromperturbative unitarity and vacuum stability as well as contributions to theelectron electric dipole moment (EDM) and the neutron EDM from all the Barr-Zeetype diagrams. We then examine the parameter space allowed by the constraintsmentioned above and also those from the uniqueness of the vacuum, measurementsat Tevatron and LHC by using \texttt{HEPfit} to perform a global parameter fit.We find that the decays of the two lightest extra neutral (singly-charged)scalars, $H_1$ and $H_2$ ($H_1^\pm$), into $hZ$ ($WZ$) can be significant atthe same time under the constraints, which can serve as direct evidence of CPviolation in our model, but not from models with multi-doublet extensions.

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